Question: Question 3 1 pts An ant crawls on a coordinate plane, so that the ant's coordinates (@, y) at time t seconds after it has


Question 3 1 pts An ant crawls on a coordinate plane, so that the ant's coordinates (@, y) at time t seconds after it has started crawling are given by x =t' - 14, y = 32 - 7t. Here x and y are measured in mm. The temperature of the plane at any point (x, y) is denoted by T(x, y), measured in C. It is given that aT or (", y) = x2 - 3 - 1 and aT ay (z,y) = -2ry, both measured in C per mm. Suppose that when t = 4, the rate of change of temperature experienced by the ant is A C per second. Find the value of A. Question 4 1 pts Consider the function f(x, y, z) = \\ 4x2 + y2 + 22. Find the value of a2 f . + 12- 82 f 202 f + 12- az2 at the point (1, 2, 1)
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